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Finding the Third Proportional to 377,550 and 571,815

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Solution

The third proportional to 377,550 and 571,815 is: 866,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,550 : 571,815 = 571,815 : x
  2. Step 2: Convert to fraction form
    377,550/571,815 = 571,815/x
  3. Step 3: Cross multiply
    377,550x = 571,815 × 571,815
  4. Step 4: Simplify right side
    377,550x = 326,972,394,225
  5. Step 5: Solve for x
    x = 326,972,394,225/377,550
  6. Step 6: Final answer
    x = 866,037.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.